dynamic matrix
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Mathematics ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 50
Author(s):  
Yongjun He ◽  
Bolin Liao ◽  
Lin Xiao ◽  
Luyang Han ◽  
Xiao Xiao

Matrix inversion is commonly encountered in the field of mathematics. Therefore, many methods, including zeroing neural network (ZNN), are proposed to solve matrix inversion. Despite conventional fixed-parameter ZNN (FPZNN), which can successfully address the matrix inversion problem, it may focus on either convergence speed or robustness. So, to surmount this problem, a double accelerated convergence ZNN (DAZNN) with noise-suppression and arbitrary time convergence is proposed to settle the dynamic matrix inversion problem (DMIP). The double accelerated convergence of the DAZNN model is accomplished by specially designing exponential decay variable parameters and an exponential-type sign-bi-power activation function (AF). Additionally, two theory analyses verify the DAZNN model’s arbitrary time convergence and its robustness against additive bounded noise. A matrix inversion example is utilized to illustrate that the DAZNN model has better properties when it is devoted to handling DMIP, relative to conventional FPZNNs employing other six AFs. Lastly, a dynamic positioning example that employs the evolution formula of DAZNN model verifies its availability.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Sreenivasulu Ayyalappagari ◽  
Venkata Appa Rao Bhogapurapu

AbstractIn this paper, we establish sufficient conditions for various stability aspects of a nonlinear Volterra integro-dynamic matrix Sylvester system on time scales. We convert the nonlinear Volterra integro-dynamic matrix Sylvester system on time scale to an equivalent nonlinear Volterra integro-dynamic system on time scale using vectorization operator. Sufficient conditions are obtained to this system for stability, asymptotic stability, exponential stability, and strong stability. The obtained results include various stability aspects of the matrix Sylvester systems in continuous and discrete models.


Author(s):  
I. S. Alekseeva ◽  
A. M. Antonova

The paper examines an innovative cluster-type matrix model for training interpreters and translators, based on recent developments in text and pragmatics theory, as well as on the scenario approach in education. The aim is to create a single, multifaceted space for open interpreter and translator training with an anthropological focus, drawing on the achievements in Russian teaching culture and best world practices, including a system of feedback from employers, to enable a flexible response to the needs of the society. To achieve the aim, an innovative interactive system of intensive interpreter and translator training has been developed based on a cluster principle and continuous education quality monitoring. At the heart of the system are a scenario strategy and a text typology approach. What is unique about the St Petersburg School of Conference Interpreting and Translation (SCIT)’s project is the fact that it is not just an educational programme or a system or an algorithm, but a dynamic matrix-type learning environment.It is a flexible model for professional retraining that presupposes a range of basic skills and can fill any gaps in the general translators’ competence and current performance by applying the professional environment matrix. The cluster approach provides a combination of in-person, distant and independent learning components, as well as increased transparency of the educational and professional spaces, opening up future employment prospects.The ‘diffuse matrix’ version of the innovative matrix principle in education underlies the diversity of methods employed by SCIT: methodological pluralism, dominant in the process of training, implies a combination of diverse techniques developed by different authors for the matrix, making it most flexible and the whole approach – customer tailored. It should be pointed out that the external diversity is strictly regulated and targeted by the project’s creators by means of a monitoring mechanism.The future of the model is seen in its use in Russia and other countries to train highly professional interpreters and translators in other spheres (for example, audiovisual translation). It could also be used at the final stage of higher vocational training; as a standard mechanism for improving professional skills and retraining; as well as a social harmonising element (creating new links among academic, educational, and professional activities).


2021 ◽  
Author(s):  
Di Jiang ◽  
Zhe Dong ◽  
Bowen Li ◽  
Xiaojin Huang

Abstract To cope with the flexibility from both load side and supply side, nuclear power generation should provide flexible operation services to improve its economic competitiveness. The prerequisite of flexible operation is the real-time realization of the operation point which is usually achieved by unit coordinated control finding the setpoints of nuclear power, coolant flow and feedwater flow to meet various load demand and keep key parameters within reasonable limits. Modular high temperature gas-cooled reactor (MHTGR) is typically a small reactor and adopt adjustable helium flow, graphite and once through steam generator (OTSG) as coolant, moderator, heat exchanger, respectively. The thermal hydraulic characteristics of MHTGR are of significant difference compared with that of pressurized water reactor (PWR). As a result, the coordinated control design for MHTGR plant is quite different from the PWR. In this paper, the feedwater flow and control rods are solely used to regulate the steam temperature and nuclear power, respectively. Moreover, the so-called dynamic matrix control (DMC) then is utilized to realize the load match for MHTGR thermal power, where the setpoint of helium flow is regarded as manipulated variables and the modular thermal power is regarded as controlled variables to be optimized. The effectiveness of the proposed method is then tested and verified by a hardware-in-loop simulation through a commercial distributed control system (DCS).


Complications associated with the corrosive environment, according to JSC Orenburgneft, NK Rosneft for the period 01.01.2021, are among the prevailing ones at oil and gas production facilities and share the 1st place with the scaling factor - 26% of the complicated mechanized well stock. Downhole equipment failures due to corrosion account for 20% of the total number of fixed failures in 2020. By the type of exposure to a corrosive environment at the fields operated within the perimeter of Rosneft, JSC Orenburgneft, hydrogen sulfide and mixed corrosion (caused by simultaneous action of CO2 and H2S) are predominant. The article presents the calculated data on the physicochemical characteristics of aqueous solutions of H2S. The existing approaches for description of the mechanisms of hydrogen sulfide corrosion of oilfield equipment with examples of corrosive destruction at producing string are described A dynamic matrix of the various protection technologies and their applicability in hydrogen sulfide-containing environments is presented, which is used in the fields operated by PJSC NK Rosneft and filled according to the results of laboratory and pilot field tests. The criterions of attribution of equipment to abnormal fund on basis of classification of factors complicated exploitation and following determination of equipment category being used in localized norms of NK Rosneft are described.


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